TSTP Solution File: SWC017-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC017-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:41:13 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 7 unt; 0 def)
% Number of atoms : 170 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 200 ( 94 ~; 99 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f360,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f263,f271,f281,f282,f290,f292,f293,f323,f333,f347,f359]) ).
fof(f359,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f357,f297]) ).
fof(f297,plain,
( frontsegP(nil,nil)
| ~ spl0_1 ),
inference(resolution,[],[f60,f238]) ).
fof(f238,plain,
( ssList(nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f357,plain,
( ~ frontsegP(nil,nil)
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f356,f262]) ).
fof(f262,plain,
( nil = sk4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl0_6
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f356,plain,
( ~ frontsegP(sk4,nil)
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f256,f248]) ).
fof(f248,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f256,plain,
( ~ frontsegP(sk4,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_5
<=> frontsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f347,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f341,f339]) ).
fof(f339,plain,
( ~ neq(nil,nil)
| ~ spl0_3
| spl0_4 ),
inference(forward_demodulation,[],[f251,f248]) ).
fof(f251,plain,
( ~ neq(sk3,nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_4
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f341,plain,
( neq(nil,nil)
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f280,f262]) ).
fof(f280,plain,
( neq(sk4,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_10
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f333,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f331,f252]) ).
fof(f252,plain,
( neq(sk3,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f331,plain,
( ~ neq(sk3,nil)
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f330,f257]) ).
fof(f257,plain,
( frontsegP(sk4,sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f330,plain,
( ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f329,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f329,plain,
( ~ ssList(sk3)
| ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3)
| ~ spl0_8 ),
inference(resolution,[],[f270,f304]) ).
fof(f304,plain,
frontsegP(sk3,sk3),
inference(resolution,[],[f61,f188]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f270,plain,
( ! [X6] :
( ~ frontsegP(sk3,X6)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6)
| ~ neq(X6,nil) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl0_8
<=> ! [X6] :
( ~ ssList(X6)
| ~ frontsegP(sk4,X6)
| ~ neq(X6,nil)
| ~ frontsegP(sk3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f323,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f321,f188]) ).
fof(f321,plain,
( ~ ssList(sk3)
| spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f319,f247]) ).
fof(f247,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f319,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f84,f294]) ).
fof(f294,plain,
( frontsegP(nil,sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f257,f262]) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f293,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f196,f260,f250]) ).
fof(f196,axiom,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f292,plain,
spl0_1,
inference(avatar_split_clause,[],[f8,f237]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f290,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f200,f246,f278]) ).
fof(f200,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f194,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f194,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f282,plain,
( ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f201,f269,f246]) ).
fof(f201,plain,
! [X6] :
( ~ frontsegP(sk3,X6)
| ~ ssList(X6)
| nil != sk3
| ~ frontsegP(sk4,X6)
| ~ neq(X6,nil) ),
inference(definition_unfolding,[],[f195,f190,f191,f191]) ).
fof(f195,axiom,
! [X6] :
( ~ neq(X6,nil)
| ~ frontsegP(sk2,X6)
| ~ ssList(X6)
| ~ frontsegP(sk1,X6)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f281,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f203,f278,f260]) ).
fof(f203,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f271,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f205,f269,f260]) ).
fof(f205,plain,
! [X6] :
( ~ ssList(X6)
| ~ frontsegP(sk3,X6)
| ~ neq(X6,nil)
| nil = sk4
| ~ frontsegP(sk4,X6) ),
inference(definition_unfolding,[],[f193,f190,f190,f191]) ).
fof(f193,axiom,
! [X6] :
( nil = sk2
| ~ neq(X6,nil)
| ~ frontsegP(sk2,X6)
| ~ ssList(X6)
| ~ frontsegP(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f263,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f197,f260,f255]) ).
fof(f197,axiom,
( nil = sk4
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f258,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f199,f246,f255]) ).
fof(f199,axiom,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC017-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:06:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (31993)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (31984)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (31985)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (31998)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (31980)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (32001)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (31981)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (32004)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (31992)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (32008)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (32002)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (31991)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (31983)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (31982)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (32003)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (31994)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (31984)First to succeed.
% 0.20/0.53 % (31984)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (31984)------------------------------
% 0.20/0.53 % (31984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31984)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (31984)Memory used [KB]: 5756
% 0.20/0.53 % (31984)Time elapsed: 0.128 s
% 0.20/0.53 % (31984)Instructions burned: 11 (million)
% 0.20/0.53 % (31984)------------------------------
% 0.20/0.53 % (31984)------------------------------
% 0.20/0.53 % (31979)Success in time 0.181 s
%------------------------------------------------------------------------------